The Moran genealogy process is described in King, Lin, and Ionides (2020).
King AA, Lin Q, Ionides EL (2020). “The Sampled Moran Genealogy Process.” arXiv, https://doi.org/10.48550/ARXIV.2002.11184.
King AA, Lin Q, Ionides EL (2024). “Exact Phylodynamic Likelihood via Structured Markov Genealogy Processes.” arXiv, https://doi.org/10.48550/arxiv.2405.17032.
Moran PAP (1958). “Random Processes in Genetics.” Mathematical Proceedings of the Cambridge Philosophical Society, 54(1), 60–71. https://doi.org/10.1017/s0305004100033193.